GCD of 542, 323, 17, 706 Calculator

Given Input numbers are 542, 323, 17, 706

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 542, 323, 17, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 323, 17, 706 is 1.

Therefore, GCD of numbers 542, 323, 17, 706 is 1

Given Input Data is 542, 323, 17, 706

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 542 is 2 x 271

Prime Factorization of 323 is 17 x 19

Prime Factorization of 17 is 17

Prime Factorization of 706 is 2 x 353

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(542, 323) = 175066

GCD(542, 323) = ( 542 x 323 ) / 175066

GCD(542, 323) = 175066 / 175066

GCD(542, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 542, 323, 17, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 367, 66, 218
• GCD of 257, 450, 78, 495
• GCD of 598, 991, 65, 238
• GCD of 974, 689, 52, 170
• GCD of 453, 898, 22, 715

1. What is the GCD of 542, 323, 17, 706?

GCD of 542, 323, 17, 706 is 1

2. Where do I get the detailed procedure to find GCD of 542, 323, 17, 706?

You can find a detailed procedure to find GCD of 542, 323, 17, 706 on our page.

3. How to find GCD of 542, 323, 17, 706 on a calculator?

You can find the GCD of 542, 323, 17, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.